simulation and contingency analysis of a … · 2.4 optimal capacitor placement and sizing full...
TRANSCRIPT
Journal of Engineering and Sustainable Development, Vol. 20, No.04, July 2016 www.jeasd.org( ISSN 2520-0917)
238
SIMULATION AND CONTINGENCY ANALYSIS OF A
DISTRIBUTED NETWORK IN IRAQ
Dr. Thamir M. Abdul-Wahhab
1, Omar Ali Abdullah
2
1) Lecturer, Department of Electrical Engineering, University of Technology, Baghdad, Iraq.
2) M. Sc. Student, Department of Electrical Engineering, University of Technology, Baghdad, Iraq.
Abstract: This paper presents the contingency analysis to study the impact of forced or planned outages
on electrical distribution system. The mathematical modeling of contingency analysis includes; the load
flow analysis and the power restoration analysis. The power restoration is formulated as a constrained
multi-objective optimization problem, based on the ranking search method. The method performs load
flow simulations and utilizes the analytical information obtained to maximize the amount of total power
restored and to minimize the number of required switching operations.In this work the contingency
analysis is based on the advanced CYMDIST software as a tool for the simulation of a distribution
network and performing the required analysis. CYMDIST software is practical and efficient analysis
software used by many electrical companies worldwide as well as by the Iraqi ministry of electricity. The
distribution network simulation and contingency analysis proposed in this paper were implemented on
Al_Amereah 11 kV network which is a part of Baghdad city distribution network. The results show that
full power restoration under contingency conditions after fault isolation without violating constraints was
achieved in three steps: optimal switching, addition of a feeder, and optimal capacitor placement.
Keywords: Contingency analysis in distribution network, CYMDIST software, power restoration,
network reconfiguration, capacitor placement.
العراق في توزيع لشبكة الطوارئ وتحليل محاكاة
على منظومة التوزيع الكهربائية. التمثيل تقدم هذه الورقة تحليل الطوارئ لدراسة أثر انقطاع التيار القسري أو المخطط له: الخالصة
القدرة الكهربائية. استعادة القدرة الكهربائية تم صياغتها سريان الحمل و تحليالت استعادة الرياضي لتحليل الطوارئ يشتمل على تحليالت
هذه ranking search method.لى طريقة البحث حسب الترتيب الطبقي دة,وذلك باالستناد اعلى شكل مسألة أمثلية متعددة االهداف مقي
ا الستعادة اعظم قدرة كهربائية للمستهلكين وبأقل الطريقة تعمل محاكاة لسريان الحمل وتستخدم المعلومات التحليلية التي يتم الحصول عليه
المتقدمة كأداة لمحاكاة CYMDISTعدد من عمليات التبديل )فتح وغلق المفاتيح(.في هذا العمل استند تحليل الطوارئ على برامجيات
برنامج تحليل عملي وفعال يستخدم من قبل العديد من شركات CYMDISTشبكة التوزيع الكهربائية وإجراء التحليالت المطلوبة. برنامج
المقترح في التوزيع الكهربائية وتحليل الطوارئ شبكة الكهرباء في جميع أنحاء العالم, وكذلك من قبل وزارة الكهرباء العراقية. محاكاة
وتشير النتائج أن الكرخ.-من شبكة توزيع كهرباء بغداد والتي تمثل جزءا kV 11على شبكة توزيع كهرباء العامرية هذه الورقة تم تنفيذه
استعادة الخدمة كاملة بعد عزل العطل, بدون أي انتهاك للقيود في ظل حالة الطوارئ, تم تحقيقه في ثالث خطوات: التبديل )فتح وغلق
المفاتيح( االمثل, اضافة ُمغذي, والتوزيع االمثل للمتسعات.
*Corresponding Author [email protected]
Vol. 20, No. 04, July 2016
ISSN 2520-0917
www.jeasd.org
Journal of Engineering and Sustainable Development, Vol. 20, No.04, July 2016 www.jeasd.org( ISSN 2520-0917)
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1. Introduction
Due to the huge expansion of electric power systems the distribution systems have
been more complex and hence fault events are unavoidable. These faults affect the
system's reliability. Contingency analysis studies the impact of outages of network
elements and investigates the resulting effects on bus voltages and power flow for the
remaining system.
In case of feeder outage in a power distribution system, the supply of power is
isolated from the feeder to certain loads. Most feeders are provided with tie circuits to
neighboring feeders from either the same or different substations in order to restore
power to out of surface consumers following a fault. Restoring power using these ties
requires a number of switching operations [1].
The objective of power restoration is to restore the maximum possible loads by
supplying power to the out of service areas from other distribution feeders by finding
the optimum switching plan (changing the status of normally closed sectionalizing
switches and normally open tie switches) this process is known as network
reconfiguration.
Restoring power to the whole out of service area is not always possible, sometimes
substations located at the borders of the utility service area may have no alternative feed
to its feeders. Sometimes alternative feed is possible however it may not be possible to
restore power at peak load intervals without causing over load or voltage drop problems
[2]. The capacity of networks must be expanded over time to cope with increasing
demand arising from population and economic growth. Feeders, transformers and other
network appliances need to be upgraded to support the load growth and peak load level.
However, upgrading the transformer and feeder rating may not be cost benefit. To avoid
extra upgrades, area planning is needed to provide means for restoring the abnormal
system to its normal working condition through [3]:
1) Load balancing in the network, by transferring some loads from heavily loaded
feeders to lightly loaded feeders by switching operations.
2) Placement of shunt capacitors.
3) Replacing the existing conductors with higher capacity conductors.
4) Addition of new feeder to carry some of the loads from the existing feeders.
2. Mathematical Model
2.1 Load Allocation Method
In this work the connected kVA load allocation technique provided by CYMDIST
software is used which distributes the substation load demand (entered by the user in
amperes for each phase) along the feeder according to the connected kVA of the
distribution transformers.
The connected kVA algorithm [4].
kVAT = ∑ KVAC(i)
n
i
× LF (1)
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kWa(i) = kWd × [KVAC(i)×LF
kVAT] (2)
kVAra(i) = kWa(i) × √(1
P.F)2 − 1 (3)
Where:
i : is the section number. kWd : is the demand (kW).
kVAc: is the connected (kVA). kVAT: is the total connected (kVA).
kWa(i): kW allocated on section (i). kVAra(i): kVAr allocated on section (i).
2.2 Load flow method (Backward/Forward sweep algorithm)
The Backward/Forward sweep algorithm solves the load flow equations of radial
distribution networks iteratively in two stages:
In the first stage the node and branch currents are calculated by the backward sweep
starting from the end nodes back to the source node using Kirchhoff's Current Law
(KCL). The end nodes currents are calculated as a function of the end nodes voltages
and the given loads.
In = (Sn
Vn)
∗
(4)
For the first iteration the initial end nodes voltages are taken as the nominal bus
voltages at these nodes.
The backward sweeps calculates branch currents and voltage drop in branches to
update nodes voltages back to the source node.
Vk = Vn + Zk,n × Ik,n (6)
The calculated branch currents are saved to be utilized in the following forward
sweep calculations.
Finally as a convergence criterion the calculated source voltage is compared to the
specified source voltage for mismatch calculation.
Error = ||Vs| − |V1|| (7)
In the second stage by the forward sweep starting from the source node to the end
nodes the voltage is calculated at each node as a function of the branch currents,
using the currents calculated in the previous backward sweep using Kirchhoff's
Voltage Law (KVL), with the nominal voltage taken as the source voltage at the
starting of each forward sweep.
Vk = Vn − Zk,n × Ik,n (8)
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The forward and backward sweeps continues until the calculated source voltage
becomes within a specified tolerance with the nominal source voltage [5].
2.3 Power restoration method
In this work the ranking based search method is employed to solve the power
restoration problem as a multi objective function multi constraint optimization
problem, as illustrated in Figure (1). The method acts to find the optimum switching
plan that gives the optimum network configuration which satisfies the objective
functions of maximizing power restoration, minimizing the number of switching
operations, and load balancing to minimize the risk of overload. Without violating
constrains of voltage drop limits, line/transformer capacity limits, and feeder load
limits. Also, the radiality of the feeders should be kept. The constrained optimum
power restoration algorithms are formulated as follows:
2.3.1 The objective functions are
1. Minimization of out of service area:
min 𝑓1(x̅) = ∑ Li
n
i=1
− ∑ Li
nR
i=1
(9)
Where,
x̅ : is the switch status vector of the network,
x̅ = [SW1, SW2 … SWNs]
SWi: is the status of ith switch, closed = 1 and open = 0.
Ns : is the number of switches in the network.
n : is the number of energized buses in the network before fault.
Li : is the load on ith bus.
nR: is the number of energized buses in the restored network.
In equation (9), it is assumed that all the buses in the network from 1 to n are
energized before fault case. While nR is the number of the energized buses after fault
condition.
2. Minimization the number of switching operations:
min𝑓2(�̅�) = ∑|SWj − SWRj|
Ns
𝑗=1
(10)
Where,
x̅ : is the switch status vector of the network,
x̅ = [SW1, SW2 … SWNs]
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Ns: is the number of switches in the network,
SWj: is the status of jth switch in network just after fault.
SWRj: is the status of jthswitch in the network after restoration.
2.3.2 The constraints
1. Radial network structure: For fault locating and isolation, and the
coordination of protective devices, a radial network structure must be
retained after power restoration.
2. Bus voltages should not violate their limits:
|V min | ≤ |Vj | ≤ |V max | (11)
Where: Vj , is the voltage at bus j; Vmin, is the minimum acceptable bus voltage;
Vmax, is the maximum acceptable bus voltage.
3. Feeders should not be overloaded:
Ij ≤ Ijmax (12)
Where: Ij , is the load current in line j; Ijmaxthe maximum acceptable load
current in line j.
4. Power source limit constraint: The total loads of a certain partial network
cannot exceed the capacity limit of the corresponding power source.
Pt ≤ Psmax. (13)
Qt ≤ Qsmax. (14)
Power factor constraint, harmonics constraint, and voltage angle constraint has not
been taken into consideration to avoid the complexity of the problem.
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Figure 1. Demonstrates the ranking based search method for power restoration after a contingency case in a distribution network
[6].
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2.4 Optimal capacitor placement and sizing
Full Power restoration for the out of service area from adjacent feeder may not be
possible because extra power flow on the feeder may lead to over load condition on this
feeder. Placement of controlled capacitor bank can increase the power transfer capacity
of the feeder and increase the possibility of full power restoration. The problem
is formulated to determine the optimal shunt capacitor size and location in a radial
distribution network by minimizing the ohmic losses. At the same time, the choice is
restricted by electric network constraints. The sizes of capacitor banks are given by
standard size, which makes the set of solutions to be discrete. Therefore, the problem is
classified as a discrete optimization problem [7]. Providing reactive power
compensation for a primary distribution network. CYMDIST module is used to
determine an optimal compensation solution which also enables variation of the solution
when the network configuration changes. Applying compensation using the CYMDIST
module helps in saving additional power, improves the voltage profile, and causes lesser
load shedding during restoration
2.4.1 Capacitor placement algorithm
The optimal capacitor size and placement at proper node should minimize the
objective function in equation (15):
Ploss(k+1) ≤ Ploss(k) (15)
Where: PLOSS (K+1), Power losses after capacitor placement; PLOSS (K), Power losses
before capacitor placement.
And satisfy the following constraints:
1. Bus Voltage Limits:
Vmin ≤ |Vi| ≤ Vmax (16)
Where: Vmin Lower bus voltage limit; Vmax Upper bus voltage limit;
|Vi| rms value of the ith
bus voltage.
2. The line flow limits: The line load current (I) should be less than the line rated
current (Irated).
I ≤ Irated (17)
3. Power Conservation Limits: The algebraic sum of all incoming and outgoing
power including line losses over the whole distribution network should be equal
to zero:
PG − ∑ PDni=1 − Plt = 0 (18)
Where: PG is power generation; PD is power demand; Plt is total power losses
4. The number and Sizes of permissible capacitor banks constraint:
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∑ Qcmi=1 ≤ Qt (19)
Where: Qc, kVAr obtained from the capacitor bank; Qt total reactive power flow
requirement; m total number of capacitor banks.
The proposed method for capacitor placement in a radial distribution feeder is
summarized by the flowchart in Figure (2).
Figure 2. Flowchart of capacitor placement in a radial distribution feeder using CYMDIST program [8].
No
Start
Input data
(R, X, and loads)
Run the load flow analysis for
original feeder
Put Qc at the far end bus from the substation using CYMDIST program
Run the load flow analysis
Vmin ≤ |Vi| ≤ Vmax
I ≤ I(rated)
Add new Qc using
CYMDIST program
Remove Qc and put
prior values of Qc
Run the load flow
analysis
Constraints
satisfied?
Put Qc at the next bus Stop
No
Yes
Yes
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3. Proposed Network Model
The modeling process begins with acquiring all the input data required for the
modeling, and the combined processed data are entered or imported from GIS software
into CYMDIST to create the distribution system model, with the single line diagram
automatically generated.
4. Contingency Analysis Methodology
The Contingency analysis methodology in this paper is illustrated by the flowchart in
Figure (3). The methodology acts to find the optimal configuration that will maximize
the electrical power restoration to consumers in a distribution network, after fault
isolation, without violating the operational constraints.
Figure 3. Flowchart representing the contingency analysis methodology using CYMDIST software.
Yes
No
No
Start
Create the network model in CYMDIST
Apply load allocation
Analyze the existing network using load flow
Simulate an outage of a feeder or section
Reconfigure the network by switching operations for power
restoration Analyze the new network configuration using load flow
Vmin≤ │Vi│≤Vmax
│Ii│≤ Imax
Optimal network reconfiguration
(maximizing power restored)
End
Yes
Input network data
Optimum network configuration (switches
status)
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5. Case Study
The analysis is implemented, using the CYMDIST 4.5 (Rev.6) software, on
Al_Amereah distribution network which is a part of the distribution system in Baghdad
city. The network consists of 11 outgoing feeders from Al_Amereah substation
(33/11kV, 2×31.5 MVA) serving a large area of mixed residential, commercial, and
industrial loads. The network is rated at 11 kV, base 100MVA, 50 Hz, with 323 line
sections, 313 buses, and 11 tie switches. The modeling of Al_Amereah network is based
on the actual coordination’s taken from Iraqi Ministry of Electricity (MOE) depending
on the Global Positioning System (GPS) and Geographic Information System (GIS), as
shown in Figure (4).
Loads allocation: Loads are allocated on all sections by using the connected kVA
method depending on the load current at the head of each feeder as given in Table (1).
The secondary (11/0.4 kV) (Delta-Grounded wye) transformer capacities are given in
Table (2).
Figure 4. Al_Amereah network model based on (GPS) and (GIS) data.
Table 1. The load current of the 11 outgoing feeders from Al_Amereah substation.
Table 2. 11\0.4 kV transformer capacities of Al_Amereah network.
Main substation transformer (2)
33/11 kV, 31.5 MVA
Main substation transformer (1)
33/11 kV, 31.5 MVA
P.F. Current/ph (A) Feeder name 11kV P.F. Current/ph (A) Feeder name 11kV
0.85 190 Amereah_87 0.85 10 Amereah_80
0.85 200 Amereah_88 0.85 130 Amereah_81
0.85 260 Amereah_89 0.85 200 Amereah_82
0.85 10 Amereah_90 0.85 220 Amereah_83
0.85 160 Amereah_84
0.85 260 Amereah_85
0.85 100 Amereah_86
Spot load number Transformer
capacity(kVA)
51,158,193,224,227,243,245,255,271 100
8,14,15,17,19,21,22,29,30,34,35,43,45,46,47,48,50,52,53,57,58,61,62,63,65,66,69,
71,73,76,78,80,81,83,85,,86,88,92,94,95,96,97,98,99,106,108,109,110,111,112,116
118,119,120,122,127,129,130,131,132,134,135,136,138,140,141,143,145,146,150,
250
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5.1 Load flow study of Al_Amereah during normal operation
Voltage levels and load currents are calculated using backward/forward sweep load
flow method in CYMDIST during normal operating conditions for the original
configuration, as shown in Figure (5). The load summary and voltage drop results are
given in Table (3).
Figure 5. Single line diagram of Al_Amereah network during normal operating conditions.
Table 3. Load summary and voltage drop of Al_Amereah network during normal operating conditions.
Feeder
name
Current
A/ phase
Feeder
current
loading
(%)
Total Load P.F.
Minimum
voltage on
feeder
(p.u.)
Location of
minimum
voltage
kW kVAr
Amereah_80 10 2.9 % 161.94 104.35 0.8406 0.999 Section _6
Amereah_81 130 37.68 % 2095.61 1299.84 0.8498 0.994 Section _41
Amereah_82 200 57.97 % 3194.18 1976.22 0.85 0.98 Section _71
Amereah_83 220 63.76 % 3512.49 2178.69 0.8498 0.98 Section _99
Amereah_84 160 46.38% 2573.5 1597.02 0.8497 0.98 Section _112
Amereah_85 260 75.35% 4100.4 2531.86 0.85 0.963 Section _152
Amereah_86 100 29 % 1616.88 1004.6 0.849 0.995 Section _213
Amereah_87 190 55.07 % 3025.56 1874.01 0.85 0.976 Section_251
155,156,160,164,168,183,190,194,204,206,207,208,209,211,213,215,220,221,222,
223,230,237,246,249,250,256,258,260,261,263,265,266,270,275,278,280,283,286,
289,291,297,300,309,313,315,319
13,44,55,60,67,74,75,82,104,105,115,117,125,152,172,180,181,182,202,225,226,
236,238,242,264,267,269,272,273,274,276,279,295,299,305,308,310,317,318
400
9,11,12,68,77,89,176,179,185,187,191,192,195,199,232,233,235,244,247,248,301,
302
630
2,3,6,103,157,175,282,285 1000
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Amereah_88 200 57.97 % 3198.75 1971.48 0.85 0.98 Section _286
Amereah_89 260 75.4% 4154.27 2557.04 0.85 0.98 Section _319
Amereah_90 10 2.9% 161.95 101.22 0.85 0.999 Section _321
The results obtained in Table (3) show that all the feeders are within their current
carrying capacities, the voltage levels are within their 5% limit, and the network is in a
healthy state.
5.2 Contingency analysis of Al_Amereah distributed network
To perform the contingency analysis, feeder outage is simulated assuming 3-phase
fault on one feeder at a time.
Feeder Amereah_81 outage is simulated by assuming a fault on section_7 which is
the main outgoing line (underground cable) from substation Al_Amereah to supply the
rest of the feeder. The contingency program opens switch (Sw_7) to clear the fault, this
results in loss of power supply to sections (7 to 41), as shown by the darker black line in
Figure (6). The total load for the unserved consumers is 2905.6 kW.
Similarly for feeders Amereah_82, Amereah_84, and Amereah_85 a fault is assumed
on the main section of each feeder, which is the outgoing line (underground cable) from
substation Al_Amereah to supply the rest sections of the feeder. The total load for the
unserved consumers for each case is given in Table (4).The contingency program opens
the corresponding switch to clear fault, this results in loss of power supply to the rest of
the feeder, as shown by the bold black line in Figures (7) to (9).
Figure 6. Single line diagram of Al_Amereah network showing the outage of feeder Amereah_81.
Figure 7. Single line diagram of Al_Amereah network showing the outage of feeder Amereah_82.
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Table 4. Summary of contingency analysis following feeder outage.
Feeder outage Fault location Switch opened
to clear fault
Section outage Consumers
unserved (kW) From To
Amereah_81 Section_7 Sw_7 7 41 2095.6
Amereah_82 Section_42 Sw_42 42 71 3194.18
Amereah_84 Section_100 Sw_100 100 112 2573.5
Amereah_85 Section_113 Sw_113 113 152 4100.4
5.3 Service restoration by network reconfiguration after fault isolation
The program carries on network reconfiguration by opening and closing switches
according to the switching optimization technique to restore power to consumers
affected by the feeder outage. The optimum configurations of feeders Amereah_81,
Amereah_82, Amereah_84, and Amereah_85 are obtained as follows:
1. For the contingency case of feeder Amereah_81, the network was reconfigured by
closing N/O tie-switch (Tie_Sw_212), as shown in Figure (10). Closing tie-switch
(Tie_Sw_212) allow transfer of load 2095.6 kW from feeder Amereah_81 to feeder
Amereah_86 after fault isolation.
2. For the contingency case of feeder Amereah_82, the network was reconfigured by
closing N/O tie-switch (Tie_Sw_70), as shown in Figure (11). Closing tie-switch
(Tie_Sw_70) allow transfer of load 1301 kW from feeder Amereah_82 to feeder
Amereah_89 after fault isolation. Opening N/C switches (Sw_58), (Sw_62), (Sw_66)
and (Sw_71) splits load to avoid overloading on feeder Amereah_89.
3. For the contingency case of feeder Amereah_84, the network was reconfigured by
closing N/O tie-switch (Tie_Sw_101), as shown in Figure (12). Closing tie-switch
(Tie_Sw_101) allow transfer of load 1486.1 kW from feeder Amereah_84 to feeder
Figure 8. Single line diagram of Al_Amereah network showing the outage
of feeder Amereah_84.
Figure 9. Single line diagram of Al_Amereah network showing the
outage of feeder Amereah_85.
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Amereah_83 after fault isolation. Opening N/C switch (Sw_105) split load to avoid
overloading on feeder Amereah_83.
4. For the contingency case of feeder Amereah_85, the network was reconfigured by
closing N/O tie-switch (Tie_Sw_228), as shown in Figure (13). Closing tie-switch
(Tie_Sw_228) allow transfer of load 2361.2 kW from feeder Amereah_85 to feeder
Amereah_87 after fault isolation. Opening N/C switches (Sw_125), (Sw_126), and
(Sw_137) splits load to avoid overloading on feeder Amereah_87.
The summary of power restoration is given in Table (5).
Table 5. Summary of power restoration following contingency analysis for feeders of Al_Amereah network.
Feeder Amereah_81
Section Id Switch Id Action Reason Power restoration(kW) Consumers
unserved(kW)
Amereah_7 Sw_7 0pen Clear fault 0 2095.6
Amereah_212 Tie_Sw_212 Close Transfer load 2095.6 0
Total 2095.6 0
Feeder Amereah_82
Section Id Switch Id Action Reason power restoration(kW) Consumers
unserved(kW)
Amereah_42 Sw_42 0pen Clear fault 0 3194.2
Amereah_66 Sw_66 0pen Split load 0 3194.2
Amereah_70 Tie_Sw_70 Close Transfer load 1301 1893.2
Amereah_58 Sw_58 0pen Split load 0 1893.2
Amereah_71 Sw_71 0pen Split load 0 1893.2
Amereah_62 Sw_62 0pen Split load 0 1893.2
Total 1301 1893.2
Feeder Amereah_84
Section Id Switch Id Action Reason Power restoration(kW) Consumers
unserved (kW)
Amereah_100 Sw_100 0pen Clear fault 0 2573.5
Amereah_101 Tie_Sw_101 Close Transfer load 1486.1 1087.4
Amereah_105 Sw_105 0pen Split load 0 1087.4
Total 1486.1 1087.4
Feeder Amereah_85
Section Id Switch Id Action Reason Power restoration(kW) Consumers
unserved (kW)
Amereah_113 Sw_113 0pen Clear fault 0 4100.4
Amereah_125 Sw_125 0pen Split load 0 4100.4
Amereah_126 Sw_126 0pen Split load 0 4100.4
Amereah_228 Tie_Sw_228 Close Transfer load 2361.2 1739.2
Amereah_137 Sw_137 0pen Split load 0 1739.2
Total 2361.2 1739.2
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Figure 11. Single line diagram of Al_Amereah network showing the outage of feeder Amereah_82.
Figure 10. Single line diagram of Al_Amereah network showing the outage of feeder Amereah_81.
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Figure 12. Single line diagram of Al_Amereah network showing the outage of feeder Amereah_84.
The results of power restoration following contingency analysis for the 9 feeders of
Al_Amereah network are summarized in Table (6).
Table 6. Power restoration following contingency analysis for the 9 feeders of Al_Amereah network.
Feeder name Total load before fault (kW) Power restored after fault
clearing (kW)
Consumers
unserved (kW)
Amereah_81 2095.6 2095.6 0
Amereah_82 3194.2 1301 1893.2
Amereah_83 3512.5 2082.5 1430
Amereah_84 2573.5 1486.1 1087.4
Amereah_85 4100.4 2361.2 1739.2
Amereah_86 1616.9 1616.9 0
Amereah_87 3025.6 697.1 2328.4
Amereah_88 3198.7 3198.7 0
Amereah_89 4154.3 4154.3 0
Figure 13. Single line diagram of Al_Amereah network showing the outage of feeder Amereah_85.
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5.4 Remedial action for further power restoration
Table (6) illustrates that power restoration following contingency analysis for feeders
Amereah_82, Amereah_83, Amereah_84, Amereah_85, and Amereah_87 needs more
remedy. Achieving further power restoration in the distribution system requires;
addition of new switching, or addition of new feeder, or addition of capacitor to the
network.
5.5 Addition of new switches in the network
Feeder Amereah_82: The proposed plan is by adding N/0 switch (Sw_216) between
node Amereah_216 and node Amereah_50 to restore the electrical power from feeder
Amereah_87 to recover the maximum possible consumers load in the affected areas of
feeder Amereah_82, during contingency case. For this contingency case, the network
was reconfigured by closing N/O tie-switches (Tie_Sw_70) and (Tie_Sw_216) and
opening N/C switch (Sw_63) . Closing (Tie_Sw_70) and (Tie_Sw_216) allow transfer
of 985.4 kW and 2208.8 kW from feeder Amereah_87 and Amereah_89 respectively to
feeder Amereah_82 after fault isolation. Opening N/C switch (Sw_63) split load to
avoid overloading on feeder Amereah_89. The reconfiguration is shown in Figure (14).
The summary of power restoration is given in Table (7).
Table 7. The proposed switching plan for feeder Amereah_82 after addition of tie-switch
(Tie_Sw_216).
Section Id Switch Id Action Reason Power restoration
(kW)
Consumers
unserved
(kW)
Amereah_42 Sw_42 0pen Clear fault 0 3194.2
Amereah_63 Sw_63 0pen Split load 0 3194.2
Amereah_70 Tie_Sw_70 Close Transfer load 985.4 2208.8
Amereah_216 Proposed Tie_Sw_216 Close Transfer load 2208.8 0
Total 3194.2 0
Figure 14. Single line diagram of the network after applying the proposed tie-switch (Tie_Sw_216) to
restore electrical power to consumers of feeder Amereah_82 after isolating fault.
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5.6 Addition of new feeder in the network
Feeder Amereah_85: The remedy of feeder Amereah_85 using optimal switching
and network reconfiguration did not restore the total power during the contingency case.
By investigating the network we proposed addition of a new outgoing feeder from
substation Al_Amereah. This feeder named Amereah_91 is an underground cable, 2850
m length according to GIS data, as shown in Figure (15). This feeder will reduce load
on feeder Amereah_85. The maximum load current on feeder Amereah_85 before
addition of the proposed feeder was 260 A, and after the addition of the proposed feeder
became 123.8 A, and the maximum load of the proposed feeder is 131.8 A. The load for
feeder Amereah_85 before addition was 4100.4 kW and after addition became 1982.06
kW and the load for feeder Amereah_91 is 2108.86 kW.
The contingency analysis was implemented assuming a fault occurrence on feeder
Amereah_85. In this contingency case, the network was reconfigured by closing N/O
tie-switch switch (Tie_Sw_118) allow transfer of load 1982.1 kW from feeder
Amereah_85 to proposed feeder Amereah_91 after fault isolation as given in Table (8).
The reconfiguration is shown in Figure (16).
Table 8. Optimal switching plan for feeder Amereah_85 after addition of the proposed feeder
Amereah_91.
Section Id Switch Id Action Reason Power
restoration
(kW)
Consumers
unserved
(kW)
Amereah_113 Sw_113 0pen Clear fault 0 1982.1
Amereah_118 Tie_Sw_118 Close Transfer load 1982.1 0
Total 1982.1 0
Figure 15. Shows the addition of the proposed feeder Amereah_91 to Al_Amereah network.
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5.7 Addition of capacitor to the network
After the proposed switching plan for feeder Amereah_84 by addition of switch
(Sw_106), still there are unserved consumers 1087.4 kW as given in Table (6). As a
solution to this problem we proposed addition of capacitors on feeders Amereah_83 and
Amereah_84. By using CYMDIST program /capacitor placement analysis the optimum
capacitors required for network remedy are as follows:
1. Addition of 300 kVAr and 200 kVAr capacitors on sections Amereah_79 and
Amereah_87 respectively to feeder Amereah_83.
2. Addition of 450 kVAr capacitor on section Amereah_102 to feeder Aaereah_84.
This capacitor placement restores all power to feeder Amereah_84 after fault, as shown
in Figure (17).
Figure 17. The optimal switching plan following capacitor placement to restore
electrical power to consumers on feeder Amereah_84 after isolating fault.
Figure 16. Single line diagram of the optimal switching plan to restore electrical power to
consumers on feeder Amereah_85 after isolating fault.
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The network was reconfigured by closing N/O tie-switch (Tie_Sw_101) allowing
transfer of 2573.5 kW from feeder Amereah_83 to Amereah_84, after fault isolation.
The reconfiguration is summarized in Table (9).
Table 9. Optimal switching planAmereah_84 after addtion of capacitor placement.
6. Al_Amereah Network Voltage Profile
The voltage profile obtained before and after optimum configuration (after fault
isolation) of feeders Amereah_81, Amereah_82, Amereah_84, and Amereah_85, as
shown in Figures (18) to (21) for each case.
Figure 18. Voltage profile of feeder Amereah_81, during normal operation and after fault isolation.
.
Figure 19. Voltage profile of feeder Amereah_82, during normal operation and after fault isolation.
Section Id Switch Id Action Reason Power restoration
(kW)
Consumers
unserved
(kW)
Amereah_100 Sw_100 0pen Clear fault 0 2573.5
Amereah_101 Tie_Sw_101 Close Transfer load 2573.5 0
Total 2573.5 0
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Figure 20. Voltage profile of feeder Amereah_84; during normal operation and after fault isolation.
Figure 21. Voltage profile of feeder Amereah_85; during normal operation and after fault isolation.
7. Current Loading of Al_Amereah Network
Figure 22. Current loading for feeder of Al_Amereah_81 network.
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Figure 23. Current loading for feeder of Al_Amereah_82 network.
Figure 24. Current loading for feeder of Al_Amereah_84 network.
Figure 25.Current loading for feeder of Al_Amereah_85 network.
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8. Reactive Power Compensation for Feeder Amereah_83 and Feeder Amereah_84
Table (10) presents current loading, real power, reactive power, and voltage profile
before and after capacitor placement on feeder Amereah_83 and feeder Amereah_84.
Figures (26) to (29) show the downstream reactive power profile with respect to
distance for feeders Amereah_83 and Amereah_84 before and after capacitor
placement.
Table 10. Presents current loading, power, and voltage profile after capacitor placement on feeder
Amereah_83 and feeder Amereah_84.
feeder
Amereah_83
Total load used before compensation Total load used after compensation
Current
A/phase
kW kVAr Minimum
voltage
(p.u.)
Current
A/phase
kW kVAr Minimum
voltage
(p.u.)
System load 220 3512.49 2178.69 0.98 190.3 3512.4
9
2178.69 0.9868
Total adjusted
shunt capacitor
--- 0.0 --- --- --- --- 1465.59 ---
conductor
capacities
--- 0.0 9.29 --- --- --- 9.42 ---
System losses --- 50.02 38.74 --- --- 37.59 29.18 ---
feeder
Amereah_84
Total load used before compensation Total load used after compensation
Current
A/phase
kW kVAr Minimum
Voltage
(p.u.)
Current
A/phase
kW kVAr Minimum
voltage
(p.u.)
System load 160 2573.5 1597.02 0.98 136.5 2573.5 1597.06 0.9915
Total adjusted
shunt capacitor
--- 0.0 --- --- --- --- 1338.57 ---
conductor
capacities
--- 0.0 5.82 --- --- --- 5.83 ---
System losses --- 17.68 14.57 --- --- 13.82 11.64 ---
Figure 26. kVAr profile of feeder Amereah_83 before capacitor placement.
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Figure 27. kVAr profile of feeder Amereah_83 after capacitor placement.
Figure 28. kVAr profile of feeder Amereah_84 before capacitor placement.
Figure 29. kVAr profile of feeder Amereah_84 after capacitor placement.
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Section Amereah_72 (2436.71 m length) has 727.79 downstream kVAr / phase before
compensation; this value is reduced to 238.82 kVAr /phase after applying capacitors
placement. Also, Section Amereah_100 (1379.5 m length) has 533.53 downstream
kVAr / phase before compensation; this value is reduced to 87.273 kVAr / phase after
applying capacitors placement. The sections that have capacitors become a source of
reactive power, the overall active and reactive power losses will be reduced and lead to
increasing conductor capacities. The overall P.F. of each feeder is improved as
illustrated in Table (10).
9. Conclusions
Due to the increasing size and complexity of distribution networks, using practical
software for the simulation and analysis of such networks become a necessity.
Contingency analysis is an important analysis since faults cannot be avoided. In this
paper the CYMDIST software is used as a tool for this analysis. The results show that
performing optimal switching operations to isolate a fault and restoring the power for
maximum number of consumers can only be achieved by proper simulation of the actual
distribution network, accurate load flow analysis, and optimal reconfiguration of the
network.
Power restoration to all consumers cannot be achieved due to many constraints such as
lines capacity and operating current and voltage limitations, so different approaches
have been considered in this work for increasing this power restoration, such as addition
of switches in the network, addition of a new feeder, or addition of capacitors. These
remedial actions for the contingency case can also enhance the overall performance of
the network during normal operation.
Abbreviations
In Load current (Amp) at node n
N/C Normally close
N/O Normally Open
Pt Total active power (kW)
Qt Total reactive power (kVAr)
ss Sectionalizing switches
tS Tie switches
tS1 Tie switch with the largest spare capacity
V1 voltage calculated at node 1
Zpath Electrical distance
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